Search a number
-
+
144442243413 = 3413263521567
BaseRepresentation
bin1000011010000101101…
…1011011100101010101
3111210211102120020010000
42012201123123211111
54331304203242123
6150204510321513
713302261545166
oct2064133334525
9453742506100
10144442243413
1156291976396
1223bb14b9299
131080bcc59b0
146dc35c176d
153b55c01b43
hex21a16db955

144442243413 has 40 divisors (see below), whose sum is σ = 233253554688. Its totient is φ = 88549389216.

The previous prime is 144442243411. The next prime is 144442243423. The reversal of 144442243413 is 314342244441.

144442243413 is a `hidden beast` number, since 14 + 4 + 4 + 4 + 224 + 3 + 413 = 666.

144442243413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144442243413 - 21 = 144442243411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442243411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16156 + ... + 537722.

Almost surely, 2144442243413 is an apocalyptic number.

144442243413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144442243413 is a deficient number, since it is larger than the sum of its proper divisors (88811311275).

144442243413 is a wasteful number, since it uses less digits than its factorization.

144442243413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521855 (or 521846 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 144442243413 its reverse (314342244441), we get a palindrome (458784487854).

The spelling of 144442243413 in words is "one hundred forty-four billion, four hundred forty-two million, two hundred forty-three thousand, four hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 263 351 789 1053 2367 3419 7101 10257 21303 30771 92313 276939 521567 1564701 4694103 6780371 14082309 20341113 42246927 61023339 137172121 183070017 411516363 549210051 1234549089 1783237573 3703647267 5349712719 11110941801 16049138157 48147414471 144442243413